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Finding the Fourth Proportional to 52,697.62, 72,724.44 and 28,824.29

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Solution

The fourth proportional to 52,697.62, 72,724.44 and 28,824.29 is: 39,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,697.62 : 72,724.44 = 28,824.29 : x
  2. Step 2: Convert to fraction form
    52,697.62/72,724.44 = 28,824.29/x
  3. Step 3: Cross multiply
    52,697.62x = 72,724.44 × 28,824.29
  4. Step 4: Simplify right side
    52,697.62x = 2,096,230,365.83
  5. Step 5: Solve for x
    x = 2,096,230,365.83/52,697.62
  6. Step 6: Final answer
    x = 39,778.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.